A paint manufacturer uses a machine to fill gallon cans with paint (see figure). Error tolerance =

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A paint manufacturer uses a machine to fill gallon cans with paint (see figure).

Error tolerance = 0.25 oz

(a) The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within 0.25 ounce. Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.85 ounce.

(b) Repeat part (a) using an error tolerance of 0.15 ounce.

(c) Which error tolerance requires a larger sample size? Explain.

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